Hermite spectral method for multi-species Boltzmann equation
文献类型:期刊论文
作者 | Li, Ruo2; Lu, Yixiao3,4; Wang, Yanli5; Xu, Haoxuan1,6 |
刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
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出版日期 | 2022-12-15 |
卷号 | 471页码:29 |
关键词 | Multi-species Boltzmann equation Multi-species binary collision operator Hermite spectral method |
ISSN号 | 0021-9991 |
DOI | 10.1016/j.jcp.2022.111650 |
英文摘要 | We introduce a numerical scheme for the full multi-species Boltzmann equation based on Hermite spectral method. With the proper choice of expansion centers for different species, a practical algorithm is derived to evaluate the complicated multi-species binary collision operator. New collision models are built by combining the quadratic collision model and the simple BGK collision model under the framework of the Hermite spectral method, which enables us to balance the computational cost and accuracy. Several numerical experiments are implemented to validate the dramatic efficiency of this new Hermite spectral method. Moreover, we can handle the problems with as many as 100 species, which is far beyond the capability of the state-of-art algorithms.(c) 2022 Elsevier Inc. All rights reserved. |
资助项目 | National Key R&D Program of China ; National Natural Science Foundation of China ; [2020YFA0712000] ; [12171026] ; [U1930402] ; [12031013] |
WOS研究方向 | Computer Science ; Physics |
语种 | 英语 |
WOS记录号 | WOS:000868319100001 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60743] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Wang, Yanli |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Peking Univ, LMAM & Sch Math Sci, CAPT, Beijing, Peoples R China 3.Peking Univ, Ctr Appl Phys & Technol, HEDPS, Beijing 100871, Peoples R China 4.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 5.Beijing Computat Sci Res Ctr, Beijing, Peoples R China 6.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Ruo,Lu, Yixiao,Wang, Yanli,et al. Hermite spectral method for multi-species Boltzmann equation[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2022,471:29. |
APA | Li, Ruo,Lu, Yixiao,Wang, Yanli,&Xu, Haoxuan.(2022).Hermite spectral method for multi-species Boltzmann equation.JOURNAL OF COMPUTATIONAL PHYSICS,471,29. |
MLA | Li, Ruo,et al."Hermite spectral method for multi-species Boltzmann equation".JOURNAL OF COMPUTATIONAL PHYSICS 471(2022):29. |
入库方式: OAI收割
来源:数学与系统科学研究院
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